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## LagrangeSon678 3 years ago derivative of secx derivative of secx @Mathematics

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1. LagrangeSon678

anybody can help me?

2. becca18

What's that supposed to mean?

3. LagrangeSon678

a derivative?

4. agreene

tan(x)sec(x) This are all very common derivatives... your book should have a table of them somewhere... and I would suggest just memorizing all of the trig derivatives and integrals, it will come in handy when you get to trig substitution integration.

5. Tyler1992

ok.. sec(x) is the same as $\frac{1}{\cos(x)}$ So use the quotient rule to find the derivative... $\frac{\cos(x)(0) - 1(-\sin(x))}{\cos^2(x)}$ Simplify and you get $\frac{\sin(x)}{\cos^2(x)}$ This can be written as $\frac{1}{\cos(x)} * \frac{\sin(x)}{\cos(x)}$ Which is sec(x)tan(x)

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